Answer Key_Test 1_Version A_Spring 2018

MATH 1020 ANSWER KEY TEST 1 VERSION A SPRING 2018 Page 1/12 Printed Name: ______________________________ Section #: _______ Instructor:_____________________ Please do not ask questions during this exam . If you consider a question to be ambiguous, state your assumptions in the margin and do the best you can to provide the correct answer. Refer to the last page for general directions and calculator troubleshooting tips. • Any communication with any person (other than the instructor or the designated proctor) during this exam in any form, including written, signed, verbal or digital, is understood to be a violation of academic integrity. • All devices, such as computers, cell phones, cameras, watches and PDAs must be turned off and stowed away while the student is in the testing room. • The only calculators to be used are TI-83, TI-83+, or TI-84+. You may NOT borrow or share a calculator with another person taking this test. • Statement of Academic Integrity : I have not and will not give or receive improper aid on this test. In signing below, I acknowledge that I have read, understand, and agree to these testing conditions. Student’s Signature: _________________________________________________________________ (This test will not be accepted for grading unless it bears the signature of the student.) FR#1 FR #2 FR #3 FR #4 FR#5 Scan- tron Free Response Total Multiple Choice Total Total Possible Points 8 6 7 5 5 1 32 68 100 Points Earned

MATH 1020 ANSWER KEY TEST 1 VERSION A SPRING 2018 Page 2/12 MULTIPLE CHOICE: 68 points Use a #2 pencil and completely fill each bubble on your scantron to answer each multiple choice question. (For future reference, circle your answers on this test paper.) There is no penalty for guessing on multiple choice. If you indicate more than one answer, or you leave a blank, the question will be marked as incorrect. Each question is worth 3 points, unless otherwise indicated. 1. [ 2 pts] Which one of the following options describes the graph? a. Concave up, increasing b. Concave down, decreasing c. Concave up, decreasing d. Concave down, increasing _________________________________________________________________________________________ Answer the following two questions using the graph below. 2. On what interval(s) is the graph decreasing ? a. ( ) ( ) , 10 / 3 , 0,7 / 3 -∞ - b. ( ) , 1/ 3 -∞ - c. ( ) , 2 -∞ - d. ( ) 2,4 / 3 - 3. Which one of the following is approximately the x-coordinate of an inflection point? a. 1 3 x = - b. 2 x = - c. 4 3 x = d. 7 3 x = _________________________________________________________________________________________ MC: C D A B A| C C D A A| B B D A D| C B C D B| B A C C B| A

MATH 1020 ANSWER KEY TEST 1 VERSION A SPRING 2018 Page 3/12 4. Describe the end behavior of the following graph of f . a. lim ( ) 0 x f x →∞ = and lim ( ) 3 x f x →-∞ = b. lim ( ) 3 x f x →∞ = and lim ( ) 0 x f x →-∞ = c. lim ( ) x f x →∞ = -∞ and lim ( ) x f x →-∞ = ∞ d. lim ( ) x f x →∞ = ∞ and lim ( ) x f x →-∞ = -∞ _________________________________________________________________________________________ Use the following graph of the function ( ) f x to answer the next three questions. 5. [2 pts] Find the limit: 2 lim ( ) = ____________ x f x - → . a. 8 b. 3 c. -6 d. does not exist 6. [2 pts] Find the limit: 2 lim ( ) = ____________ x f x + → a. 8 b. 3 c. -6 d. does not exist 7. Which one of the following statements is true for the function ( ) f x ? a. ( ) f x is continuous at 2 x = . b. ( ) f x is not continuou s at 2 x = because (2) f is not defined. c. ( ) f x is not continuou s at 2 x = because 2 lim ( ) x f x → does not exist. d. The continuity of ( ) f x at 2 x = cannot be determined.

MATH 1020 ANSWER KEY TEST 1 VERSION A SPRING 2018 Page 4/12 _________________________________________________________________________________________ Use the following graph of the function ( ) f x to answer the next two questions. 8. Find the following limit: lim ( ) _______________ x f x →∞ = . a. ∞ b. -∞ c. 2 d. -5 9. 2 lim ( ) __________ x f x - → = and this implies that ( ) f x has a vertical asymptote at ________________. a. -∞ , 2 x = b. ∞ , 2 x = c. -∞ , 2 y = d. 5 - , 5 x = - _________________________________________________________________________________________ 10. A study of king penguins found a relationship between how deep the penguins dive to seek food and how long they stay under water. ( ) 2.915 0.015 D x x = + yards gives the depth of a king penguin dive, where x is the duration of the dive in minutes, 1 9 x ≤ ≤ . Complete a sentence of interpretation for the slope of ( ) D x . When a king penguin dive is between 1 and 9 minutes, _________________________________________. a. the depth of the dive increases by 2.915 yards per minute that it remains underwater. b. the depth of the dive increases by 0.015 yards per minute that it remains underwater. c. the depth of the dive increases by 2.915 minutes per yard. d. the depth of the dive increases by 2.915 yards.